541 research outputs found
Inclusion Properties on a Class of Meromorphic Functions Defined by a Linear Operator
In the present paper, we study a certain class of meromorphic univalent functions f(z) dened by the linear operator L(α,β) f (z). The aim of the present paper is to prove some properties for the class Σα,β,kλ;(h) to satisfy the certain subordination.AMS Subject Classication: 30C4
On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
In this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator, a new subclass L_(s,a)^(k,*) (α_l,β_m;A,B,b) of meromorphic functions is defined. Some properties and characteristics of this subclass are considered. These include the coefficient inequalities, the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. Finally, closure theorems and extreme points are introduced
Argument estimates of certain classes of P-Valent meromorphic functions involving certain operator
In this paper, by making use of subordination , we investigate some inclusion relations and argument properties of certain classes of p-valent meromorphic functions involving certain operator
A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function
In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept of subordination is also introduced, and its characteristic properties are studied
Elliptic and K-theoretic stable envelopes and Newton polytopes
In this paper we consider the cotangent bundles of partial flag varieties. We
construct the -theoretic stable envelopes for them and also define a version
of the elliptic stable envelopes. We expect that our elliptic stable envelopes
coincide with the elliptic stable envelopes defined by M. Aganagic and A.
Okounkov. We give formulas for the -theoretic stable envelopes and our
elliptic stable envelopes. We show that the -theoretic stable envelopes are
suitable limits of our elliptic stable envelopes. That phenomenon was predicted
by M. Aganagic and A. Okounkov. Our stable envelopes are constructed in terms
of the elliptic and trigonometric weight functions which originally appeared in
the theory of integral representations of solutions of qKZ equations twenty
years ago. (More precisely, the elliptic weight functions had appeared earlier
only for the case.) We prove new properties of the trigonometric
weight functions. Namely, we consider certain evaluations of the trigonometric
weight functions, which are multivariable Laurent polynomials, and show that
the Newton polytopes of the evaluations are embedded in the Newton polytopes of
the corresponding diagonal evaluations. That property implies the fact that the
trigonometric weight functions project to the -theoretic stable envelopes.Comment: Latex, 37 pages; v.2: Appendix and Figure 1 added; v.3: missing shift
in Theorem 2.9 added and a proof of Theorem 2.9 adde
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